2.4.1: Rates of Change and Behavior of Graphs (Exercises)

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Nov 16, 2021
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- 2.4: Rates of Change and Behavior of Graphs
- 3: Linear Functions

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For the following exercises, find the average rate of change of the functions from $x=1$ to $x=2$ .

24. $f(x)=4 x-3$
25. $f(x)=10 x^{2}+x$
26. $f(x)=-\frac{2}{x^{2}}$

For the following exercises, use the graphs to determine the intervals on which the functions are increasing, decreasing, or constant.

$Graph of a parabola.$

28.

$Graph of a cubic function.$

29.

$Graph of a function.$

30. Find the local minimum of the function graphed in Exercise 3.27 .
31. Find the local extrema for the function graphed in Exercise 3.28 .
32. For the graph in Figure $\PageIndex{3}$ , the domain of the function is [-3,3] . The range is [-10,10] . Find the absolute minimum of the function on this interval.
33. Find the absolute maximum of the function graphed in Figure $\PageIndex{3}$ .

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